(i) Eleven students,A, B, C, D, E, F, G, H, I | vedclass

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(D) Let us analyze the given conditions to determine the seating arrangement of $11$ students:$1$. From $(iii)$,$E$ is at one end. Since $A$ is second

Vedclass · Accepted Answer

None is superfluous

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(D) Let us analyze the given conditions to determine the seating arrangement of $11$ students:$1$. From $(iii)$,$E$ is at one end. Since $A$ is second to the right of $E$,the arrangement starts as $E, K, A, ...$ (where $K$ is the only remaining student to fill the gap).$2$. From $(iv)$,$J$ is the neighbor of $A$ and $B$,so the sequence is $E, K, A, J, B, ...$.$3$. From $(iv)$,$J$ is third to the left of $G$. Counting from $J$,the positions are $J(1), B(2), I(3), G(4)$. Thus,$G$ is at the $7$th position.$4$. From $(v)$,$H$ is third to the right of $I$. Since $I$ is at the $6$th position,$H$ is at the $9$th position. $H$ is to the immediate left of $D$,so $D$ is at the $10$th position.$5$. From $(ii)$,$D$ is to the immediate left of $F$,so $F$ is at the $11$th position. $D$ is second to the right of $C$,which places $C$ at the $8$th position.Combining all these,the final arrangement is: $E, K, A, J, B, I, G, C, H, D, F$.Since every statement provides a unique constraint necessary to fix the position of at least one student,no statement is redundant or superfluous.

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